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What Is Mathematics

What Is Mathematics Author by : Richard Courant
Languange Used : en
Release Date : 1996
Publisher by : Oxford University Press, USA
ISBN : 0195105192
File Size : 52,5 Mb
Total Download : 226

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.
Category: Mathematics

What Is Mathematics Really

What Is Mathematics Really Author by : Reuben Hersh
Languange Used : en
Release Date : 1999
Publisher by : Oxford University Press, USA
ISBN : 0195130871
File Size : 53,5 Mb
Total Download : 385

Reflecting an insider's view of mathematical life, the author argues that mathematics must be historically evolved, and intelligible only in a social context.
Category: Mathematics


Frege Author by : Michael A. E. Dummett
Languange Used : en
Release Date : 1991
Publisher by : Harvard University Press
ISBN : 0674319354
File Size : 44,7 Mb
Total Download : 733

No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial Frege: Philosophy of Language is a sustained, systematic analysis of Frege's thought, omitting only the issues in philosophy of mathematics. In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume of Basic Laws of Arithmetic, establishing what parts of the philosopher's views can be salvaged and employed in new theorizing, and what must be abandoned, either as incor
Category: Philosophy

Philosophy Of Mathematics

Philosophy Of Mathematics Author by : Paul Benacerraf
Languange Used : en
Release Date : 1983
Publisher by : Cambridge University Press
ISBN : 052129648X
File Size : 44,6 Mb
Total Download : 384

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel him
Category: Mathematics
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